It's clear whatever understanding of animal behaviour you're indoctrinated into isn't the only method. Packs have leaders, a hierarchy - and that is determined in part by trust development and in part on taking a dominant stand. You can do this non-violently - and depending on your relationship with your dog, the trust, their intelligence - more subtle tactics work well - and it isn't violent at all; increased stress isn't fear, so you can't assume fear is being caused - perhaps for some dogs where there isn't trust with the person, sure, then fear is possible: I'd have fear if a stranger entered my house without me knowing them or them being invited, but if a family member comes in unannounced and unexpected I'll just perhaps be startled momentarily - but no harm was done.
You need more nuance on your rigid belief that what I did to successfully and safely train my dog - I can't imagine what you're picturing - but I was in full control and in no danger, and she wasn't going to bite me because I am far stronger than she is - and I had my hands over her muscle. And there was trust with her, she wasn't an aggressive dog - highly intelligent and so it took little influence to redirect her behaviour. For sure, certain dogs with certain temperament
Your blanket statement that what I'm doing is wrong is wrong.
I assure you there was no more fear or stress than if you raised your voice to a child who's misbehaving. Most dogs aren't lacking in experience with physical interactions with other dogs - making noises/barking to friendly nipping to more aggressive nipping for control/dominance. Gently putting your dog on their side in a safe and controlled manner, putting some weight on them - enough to know they can't move - and gently holding their snout together while deeply, softly, calmly, slowly growling "noooooo" until they calm down is very mild and subtle in reality. Arguably if you don't have trust with the dog or your dog is aggressive and they don't submit fairly quickly - then that tactic can't work.
You seem to be more on the coddling side of the spectrum. The "horrifyingly incorrect" and "abusing my dog" comments make me wonder what you're imagining too.
Citations needed on "alpha/beta behaviour" has been debunked is needed. You can see hierarchies everywhere including with animals - it's why dogs can learn to not bite or nip people, but will nip other dogs in playful or even aggressive ways - but not humans, because they know people are higher up in the hierarchy.
You don't seem to care to take nuance or context into account in your analysis, and it sounds like your experience with and behaviour of dogs is limited as well - as I said before, indoctrinated into whatever methods you suggest; I'd love to see videos of a variety of scenarios you think will help - and I wonder how realistic they will be or how serious and urgent of situations they are to take control of the situation.